In which ratio does the point P (-4, 3) divid | vedclass

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(B) Let the point $P (-4, 3)$ divide the line segment joining $A (1, -2)$ and $B (-6, 5)$ in the ratio $k: 1$.Using the section formula,the coordinate

Vedclass · Accepted Answer

$5: 2$

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(B) Let the point $P (-4, 3)$ divide the line segment joining $A (1, -2)$ and $B (-6, 5)$ in the ratio $k: 1$.Using the section formula,the coordinates of $P$ are given by:$P = \left( \frac{k x_2 + 1 x_1}{k + 1}, \frac{k y_2 + 1 y_1}{k + 1} \right)$Substituting the values $x_1 = 1, y_1 = -2, x_2 = -6, y_2 = 5$:$-4 = \frac{k(-6) + 1(1)}{k + 1}$$-4(k + 1) = -6k + 1$$-4k - 4 = -6k + 1$$2k = 5$$k = \frac{5}{2}$Thus,the ratio is $5: 2$.

In which ratio does the point $P (-4, 3)$ divide the line segment joining the points $A (1, -2)$ and $B (-6, 5)$?

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